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O-LevelMathematicsProbability4024/11 · Oct/Nov 2010 · Q194 Marks

Two bags contain beads. The first bag contains 2 black and 3 white beads. The second bag contains 2 black, 1 white and 2 red beads. A bead is taken, at random, from each bag. The tree diagram that represents these outcomes is drawn below. Giving each answer in its simplest form, find the probability that

  1. (a)both beads are black,[1]
  2. (b)both beads are red,[1]
  3. (c)exactly one bead is black.[2]

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About this question

Topic
Probability, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2010 Paper 1 Variant 1, question 19.

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